document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1045494>Question 1045494</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the radius of a circle with center at (2,3), if the chord of length 10 is bisected at (-3,0) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #660960 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52802)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=660960\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "find the radius of a circle with center at (2,3), if the chord of length 10 is bisected at (-3,0)<BR>\n" );
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document.write( "Make a sketch. Let the point O = (2,3) be the center of the circle.\r\n" );
document.write( "Let the point B = (-3,0) bisects the given chord.\r\n" );
document.write( "Let A and C be endpoints of this chord.\r\n" );
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document.write( "Then the triangle OAB is a right-angled triangle.\r\n" );
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document.write( "Its leg OB has the length <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%282-%28-3%29%29%5E2+%2B+%283-0%29%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%282-%28-3%29%29%5E2+%2B+%283-0%29%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%285%5E2+%2B+3%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%285%5E2+%2B+3%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2825%2B9%29 ALIGN=MIDDLE  ALT=\"sqrt%2825%2B9%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2834%29 ALIGN=MIDDLE  ALT=\"sqrt%2834%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > units.\r\n" );
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document.write( "Its leg AB has the length <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F2 ALIGN=MIDDLE  ALT=\"10%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 5 units.\r\n" );
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document.write( "Hence, the hypotenuse OA has the length <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2834+%2B+5%5E2%29 ALIGN=MIDDLE  ALT=\"sqrt%2834+%2B+5%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2834+%2B+25%29 ALIGN=MIDDLE  ALT=\"sqrt%2834+%2B+25%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2859%29 ALIGN=MIDDLE  ALT=\"sqrt%2859%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r\n" );
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document.write( "The hypotenuse OA is the radius of the circle.\r\n" );
document.write( "Hence, the radius is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2859%29 ALIGN=MIDDLE  ALT=\"sqrt%2859%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > units long.\r\n" );
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document.write( "<U>Answer</U>.  The radius is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%2859%29 ALIGN=MIDDLE  ALT=\"sqrt%2859%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > units long.\r\n" );
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document.write( "On properties of chords in a circle see the lessons \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Circles/A-circle-its-chords-tangent-and-secant-lines-the-major-definitions.lesson>A circle, its chords, tangent and secant lines - the major definitions</A> \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Circles/The-longer-is-the-chord-the-larger-its-central-angle-is.lesson>The longer is the chord the larger its central angle is</A> \r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;- <A  rel=nofollow HREF=http://www.algebra.com/algebra/homework/Circles/The-chords-in-a-circle-and-the-radii-perpendicular-to-the-chords.lesson>The chords of a circle and the radii perpendicular to the chords</A> \r<BR>\n" );
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document.write( "in this site.\r<BR>\n" );
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